Biographical Memoirs Volume 51 (1980) / Chapter Skim
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Abraham Adrian Albert
Abraham Adrian Albert
Pages 2-23
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Adrian Albert was the second of three chilclren, the others being a boy and a girl; in addition, he had a half-brother ant! a half-sister on his mother's side.
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An algebra is an abstract mathematical entity with elements and operations fulfilling the familiar laws of algebra, with one important qualification the commutative law of multiplication is waived. (More carefully, ~ should have said that this is an associative algebra; non-associative algebras will play an important role later in this memoir.)
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In the hunt for rational division algebras, Albert had stiff competition. Three top German algebraists (Richard Brauer, Helmut Hasse, and Emmy Noether)
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It remains in print to this day, and on certain subjects it is an indispensable reference. Structure of Algebras (19393 was his definitive treatise on algebras and formed the basis for his 1939 Colloquium Lectures to the American Mathematical Society.
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His student Daniel Zelinsky entered. A torrent of words poured out, as Albert told him how he had just cracked the theory of special Jordan algebras.
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On November 22, 1941, he gave an invited aciciress at a meeting of the American Mathematical Society in Manhattan, Kansas, entitIe(1 "Some Mathematical Aspects of Cryptography." * After the war he continued to be active in the fields in which he hac!
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Soon Eckhart Hall was humming, as such world famous mathematicians as Shiing-Shen Chern, Saunders Mac Lane, Andre Weil, and Antoni Zygmund joined Albert and Stone to make Chicago an exciting center. Albert taught courses at all levels, directed his stream of Ph.D.'s (see the list at the end of this memoir)
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A full tabulation would be icing indeecl. Here is a partial list: consultant, Rand Corporation; consultant, National Security Agency; trustee, Institute for Advanced Study; trustee, Institute for Defense Analyses, 196~1972, anct director of its Communications Research Division, ~ 96 I-l 962; chairman, Division of Mathematics of the National Research Council, 1952-1955; chairman, Mathematics Section of the National Academy of Sciences, 195~1961; chairman, Survey of Training and Research Potential in the Mathematical Sciences, 195~1957 (widely known as the "Albert Survey"; president, American Mathematical Society, 1965-1966; participant and then director of Project SCAMP at the University of California at Los Angeles; director, Project ALP (nicknamed "Adrian's little project"; director, Summer 1957 Mathematical Conference at Bowcloin College, a project of the Air Force Cambridge Research Center; vice-president, International Mathematical Union; ant]
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A paper published posthumously in 1972 was a fitting coda to a life unselfishly devoted to the welfare of mathematics and mathematicians. In 1976 the Department of Mathematics inaugurated an annual event entitled the Adrian Albert Memorial Lectures.
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On special Jordan algebras. Alternative algebras over an arbitrary Integral sets of quasiquaternion alge 1 1 Power associativity and crossed exten1951 MURRAY GERSTENHABER: Rings of derivations.
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1959 LAURENCE HARPER: Some properties of partially stable algebras. 1961 REUBEN SANDIER: associative algebras.
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USA, 16:308-12. On direct products, cyclic division algebras, and pure Riemann matrices.
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On direct products, cyclic division algebras, and pure Riemann matrices. Trans.
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Soc., 40:843~6. Normal division algebras over a modular field.
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Soc., 44:57~79. A note on normal division algebras of prime degree.
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I., 8:750-62. 1942 Quadratic forms permitting composition.
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of Chicago Press, 1963.) On Jordan algebras of linear transformations.
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Sci.USA,41:639 40. 1956 A property of special Jordan algebras.
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On reduced exceptional simple Jordan algebras.
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Math., 15:377~04. On associative division algebras of prime degree.
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